| err0 = err1, ino = ino3, ino0 = ino4, md = md0, root.dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced, ⌊err1⌋ ∨ err1 = ENOENT ∧ ¬ ispath(path, ROOT_INO, dirs, files) ∨ err1 = EACCESS ∧ path ≠ ε ∧ p' ⊑ parent(path) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟨if err0 = ESUCCESS then if root[path].dir? then md := root[path].meta, ino0 := # root[path].subdirs + 2, ino := # root[path].entries else let fid = root[path].fid in md := abs-files(files)[fid].meta, ino0 := count(fid, root.fids), ino := # abs-files(files)[fid].content⟩ ((psynced → asynced) ∧ md0 = md ∧ ino4 = ino0 ∧ ino3 = ino ∧ err1 = err0), err1 = ESUCCESS |
err0 = err1, ino = ino3, ino0 = ino4, md = md0, root.dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced, ⌊err1⌋ ∨ err1 = ENOENT ∧ ¬ ispath(path, ROOT_INO, dirs, files) ∨ err1 = EACCESS ∧ path ≠ ε ∧ p' ⊑ parent(path) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟨skip⟩ ((psynced → asynced) ∧ md0 = md ∧ ino4 = ino0 ∧ ino3 = ino ∧ err1 = err0), err1 = ESUCCESS